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Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral Equations

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  • Adrian Petruşel
  • Gabriela Petruşel

Abstract

We will discuss discrete dynamics generated by single-valued and multivalued operators in spaces endowed with a generalized metric structure. More precisely, the behavior of the sequence of successive approximations in complete generalized gauge spaces is discussed. In the same setting, the case of multivalued operators is also considered. The coupled fixed points for mappings and are discussed and an application to a system of nonlinear integral equations is given.

Suggested Citation

  • Adrian Petruşel & Gabriela Petruşel, 2015. "Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-10, August.
    • Handle: RePEc:hin:jnddns:143510
    DOI: 10.1155/2015/143510
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